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Finding the Fourth Proportional to 192.67, 264.42 and 174.21

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Solution

The fourth proportional to 192.67, 264.42 and 174.21 is: 239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.67 : 264.42 = 174.21 : x
  2. Step 2: Convert to fraction form
    192.67/264.42 = 174.21/x
  3. Step 3: Cross multiply
    192.67x = 264.42 × 174.21
  4. Step 4: Simplify right side
    192.67x = 46,064.61
  5. Step 5: Solve for x
    x = 46,064.61/192.67
  6. Step 6: Final answer
    x = 239.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.